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Math Help - Convergence

  1. #1
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    Convergence

    Determine whether the sequence ((-1)^n) / n converges, and find the limit of the sequence.

    I know it does converge to 0, but I'm not sure how to go about solving this. i want to show that the abs( (-1)^n / n - A) < epsilon for all positive epsilon, but when i try and solve to get n, i end up having to take a log and i get stuck any helpful hints? Thanks!
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    Quote Originally Posted by mistykz View Post
    Determine whether the sequence ((-1)^n) / n converges, and find the limit of the sequence.

    I know it does converge to 0, but I'm not sure how to go about solving this. i want to show that the abs( (-1)^n / n - A) < epsilon for all positive epsilon, but when i try and solve to get n, i end up having to take a log and i get stuck any helpful hints? Thanks!
    Come on, just think.
    \left| {\frac{{\left( { - 1} \right)^n }}<br />
{n}} -0\right| = \frac{1}<br />
{n}
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